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454344228 = 223413269401
BaseRepresentation
bin11011000101001…
…011111000100100
31011122221002010000
4123011023320210
51412303003403
6113030101300
714154601512
oct3305137044
91148832100
10454344228
112135135a8
121081aa830
137318b150
14444ad4b2
1529d4a7a3
hex1b14be24

454344228 has 120 divisors (see below), whose sum is σ = 1287067320. Its totient is φ = 138931200.

The previous prime is 454344223. The next prime is 454344229. The reversal of 454344228 is 822443454.

It can be written as a sum of positive squares in 4 ways, for example, as 34012224 + 420332004 = 5832^2 + 20502^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 454344192 and 454344201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454344223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1132828 + ... + 1133228.

It is an arithmetic number, because the mean of its divisors is an integer number (10725561).

Almost surely, 2454344228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454344228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643533660).

454344228 is an abundant number, since it is smaller than the sum of its proper divisors (832723092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454344228 is a wasteful number, since it uses less digits than its factorization.

454344228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 454344228 is about 21315.3519323515. The cubic root of 454344228 is about 768.7674822913.

The spelling of 454344228 in words is "four hundred fifty-four million, three hundred forty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 269 324 351 401 468 538 702 802 807 1053 1076 1203 1404 1604 1614 2106 2406 2421 3228 3497 3609 4212 4812 4842 5213 6994 7218 7263 9684 10426 10491 10827 13988 14436 14526 15639 20852 20982 21654 21789 29052 31278 31473 32481 41964 43308 43578 46917 62556 62946 64962 87156 93834 94419 107869 125892 129924 140751 187668 188838 215738 281502 283257 323607 377676 422253 431476 563004 566514 647214 844506 970821 1133028 1294428 1402297 1689012 1941642 2804594 2912463 3883284 4206891 5609188 5824926 8413782 8737389 11649852 12620673 16827564 17474778 25241346 34949556 37862019 50482692 75724038 113586057 151448076 227172114 454344228